Express the quantity 254,998 m in each unit. a. km b. Mm c. mm d. cm

Guida verificata passo dopo passo

Step 1: Understand the metric prefixes and their meanings. For example, 'kilo-' (k) means 10^3, 'mega-' (M) means 10^6, 'milli-' (m) means 10^-3, and 'centi-' (c) means 10^-2.

Step 2: Convert meters to kilometers by dividing the given value by 10^3. Use the formula: \( \text{km} = \frac{\text{meters}}{10^3} \).

Step 3: Convert meters to megameters by dividing the given value by 10^6. Use the formula: \( \text{Mm} = \frac{\text{meters}}{10^6} \).

Step 4: Convert meters to millimeters by multiplying the given value by 10^3. Use the formula: \( \text{mm} = \text{meters} \times 10^3 \).

Step 5: Convert meters to centimeters by multiplying the given value by 10^2. Use the formula: \( \text{cm} = \text{meters} \times 10^2 \).

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Unit Conversion

Unit conversion is the process of converting a quantity expressed in one unit to another unit. This involves using conversion factors, which are ratios that express how many of one unit are equivalent to another. For example, to convert meters to kilometers, one would use the factor that 1 km equals 1,000 m.

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Conversion Factors

Metric System

The metric system is a decimal-based system of measurement used globally, which includes units such as meters (m), kilometers (km), and millimeters (mm). Each unit is based on powers of ten, making conversions straightforward. For instance, 1 km is 1,000 m, and 1 m is 1,000 mm, allowing for easy scaling between units.

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Metric Prefixes Usage

Scientific Notation

Scientific notation is a way of expressing large or small numbers in a compact form, using powers of ten. For example, 254,998 m can be expressed as 2.54998 x 10^5 m. This notation is particularly useful in scientific contexts where precision and clarity are essential, especially when dealing with very large or very small quantities.

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Standard Notation to Scientific Notation

Pratica correlata

Domanda del libro di testo

Convert each temperature. a. 212 °F to °C (temperature of boiling water at sea level) b. 22 °C to K (approximate room temperature) c. 0.00 K to °F (coldest temperature possible, also known as absolute zero) d. 2.735 K to °C (average temperature of the universe as measured from background black body radiation)

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